> But even if you keep it padded and safe, the coils of the deflection yoke are thin magnet wire operated at high voltage
The coils in the deflection yoke are run at 24-100V.
The acceleration voltage is the high voltage one.
> There are hundreds or thousands of windings, which have to duplicate exactly the configuration from the factory (and then probably be calibrated by processes that are lost to history).
Tubes are very not exact compared to solid state devices— to replace a deflection yoke, it has to be of similar deflection angle and inductance, all the rest of the adjustment has to be done anyway.
It’s hard but pales in comparison to the impossibility manufacturing a new CRT vacuum tube.